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http://dx.doi.org/10.3741/JKWRA.2012.45.2.179

A Study on the Transport of Soil Contaminant (A Development of FDM Model for 3-D Advection-Diffusion Equation with Decay Term)  

Kim, Sang-Jun (Dept. of Civil and Environmental Engineering, Gachon University)
Publication Information
Journal of Korea Water Resources Association / v.45, no.2, 2012 , pp. 179-189 More about this Journal
Abstract
To simulate the transport of pollutant, a numeric model for the advection-diffusion equation with the decay term is developed. This is finite-difference model using the implicit method (with the weight factor ${\alpha}$) and Gauss-Seidel SOR(successive over-relaxation). This model is compared to the analytical solutions (of simpler dimensional or boundary conditions), and in the condition of Peclet number < 5~20, the result shows stable condition, and Crank-Nicolson method (${\alpha}$=0.5) shows the more accurate results than fully-implicit method (${\alpha}$=1). The mass of advection, diffusion and decay is calculated and the error of mass balance is less than 3%. This model can evaluate the 3-D concentrations of the advection-diffusion and decay problems, but this model uses only the finite-difference method with the fixd grid system, so it can be effectively used in the problems with small Peclet numbers like the pollutant transport in groundwater.
Keywords
soil contaminant; advection-diffusion; decay; Peclet number; mass balance;
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Times Cited By KSCI : 2  (Citation Analysis)
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1 Taylor, S.W., and Jaffe, P.R. (1990a) "Biofilm growth and the related changes in the physical properties of porous medium: 1. Experimental investigation." Water Resour. Res., Vol. 26, No. 9, pp. 2153-2159.
2 Sun, N-Z (Translation by Fan, P., and Shi, D.)(1996). Mathematical modelling of groundwater pollution, Springer-Verlag New York Inc., and Geological Publishing House.
3 Wang, H.F., and Anderson, M.P. (1982). Introduction to groundwater modelling. W.H. Freeman and Company.
4 Waterloo hydrogeologic Inc. (2002). Visual MODFLOW v.3.0 user's mannual.
5 Waterloo hydrogeologic Inc. (2002). MODFLOW packages reference manual.
6 Zysset, A., Stauffer, F., and Dracos, T. (1994). "Modelling of reactive groundwater transport governed by biodegradation." Water Resour. Res., Vol. 30, No. 8, pp. 2423-2434.   DOI   ScienceOn
7 김영도, 서일원 (2001). "입자의 이산확률분포 모형을 이용한 자연하천의 2차원 이송-확산." 한국수자원학회논문집, 한국수자원학회, 제34권, 제5호, pp. 499-509.   과학기술학회마을
8 서일원, 송창근 (2007). "2차원 이송분산모형을 이용한 한강 본류 구간에서의 BOD 거동 모의." 대한토목학회논문집, 대한토목학회, 제27권, 제6B호, pp. 573-581.   과학기술학회마을
9 유명관, 전경수 (1999). "비보전성 오염물질에 대한 종확산 방정식의 수치해법." 한국수자원학회논문집, 한국수자원학회, 제32권, 제6호, pp. 607-616.
10 이상일, 김대환, 이상신, 유상연 (2006). "강변여과에서 콜 로이드물질과 오염물의 거동에 관한 연구." 한국수자원학회논문집, 한국수자원학회, 제39권, 제6호, pp. 511-520.
11 Istok, J.D. (1989). "Groundwater modeling by finite element method." American Geophysical Union.
12 Lee, K-S. (1995). Foundations of theoretical hydraulics with elementary numerical methods, Seoul National University.
13 McDonald, M.G., and Harbaugh, A.W. (1991). MODFLOW: A Modular three dimensional finite difference flow model. IGWMC Groundwater modeling Software, International Ground Water Modeling Center.
14 Pinder, G.F., and Gray, W.G. (1997). Finite Element Simulation in surface and subsurface Hydrology, Academic Press.
15 Richard, M. (2010). Mastering VBA for office 2010. John Wiley and Sons.
16 Tan, Y., Gannon, J.T., Baveye, P., and Alexander, M. (1994), "Transport of bacteria in an aquifer sand : Experiments & model simulations." Water Resour. Res., Vol. 30, No. 12, pp. 3243-3252.   DOI   ScienceOn
17 이정규, 김주영 (2000). "2차원 이송-확산 방정식의 수치모형." 대한토목학회논문집, 대한토목학회, 제20권, 제3B 호, pp. 351-360.
18 Anderson, M.P., and Woessner, W.W. (1992). Applied groundwater modelling-Simulation of flow and advective transport, Academic Press, Inc.
19 Baveye, P., and Valocchi, V.A. (1989). "An evaluation of mathematical models of the transport of biologically reacting solutes in saturated soils and aquifers." Water Resour. Res., Vol. 25, No. 6, pp. 1413-1421.   DOI
20 Bedient, P.B., Rifai, H.S., and Newell, C.J. (1994). Grooundwater contamination (Transport and remediation), Prentice-Hall.
21 Charbeneau, R.J. (2000). Groundwater hydraulics and pollutant transport, Prentice-Hall.
22 Clement, T.P., Peyton, B.M., Skeen, R.S., Jennings, D.A., and Peterson, J.N. (1997). "Microbial growth and transport in porous media under denitrification conditions: experiments and simulations." J. Contam. Hydrol., Vol. 24, pp. 269-285.   DOI   ScienceOn
23 Corapcioglu, M.Y., and Haridas, A. (1985). "Microbial transport in soils and groundwater: A numerical model." Adv. Water Resour., Vol. 8, pp. 188-200.   DOI   ScienceOn
24 Gupta, S.K., and Tanji, K.K. (1976). "A three-dimensional Galerkin finite element solution of flow through multiaquifers in Sutter basin." Water Resour. Res., Vol. 7, pp. 774-786.